# High order approximations by sampled-data feedback

L. Grüne, D. Nesic, K. Worthmann:
**High order approximations by sampled-data feedback**

in:
*Proceedings of the 17th International Symposium on Mathematical Theory of Networks and Systems (MTNS2006),*
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Kyoto, Japan,
2006,
1780 - 1787

## Abstract:

Given a continuous time nonlinear closed loop system, we give explicit constructions for sampled-data feedback laws for which the trajectories of the sampled-data closed loop system converge to the continuous time trajectories with a prescribed rate of convergence as the sampling interval length tends to zero. In particular, we investigate necessary and sufficient conditions under which such sampled-data feedbacks exist. We give analytic solutions to the problem for local orders of convergence <=4 and present a Maple code for general orders.

MAPLE code from the paper: (ZIP-File)